Details

sample278.0ms

Algorithm

intervals

Results

199.0ms	158×	body	1280	valid
39.0ms	54×	body	640	valid
11.0ms	21×	body	320	valid
2.0ms	17×	body	80	valid
2.0ms	6×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize34.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify200.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune396.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.7b

localize44.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series157.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune632.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.7b

localize42.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	298
1	150	260
2	292	260
3	578	260
4	1948	260
5	5001	260

prune489.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.7b

localize48.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
5.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-exp-log` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
17.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
42.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	348
1	150	304
2	292	304
3	578	304
4	1948	304
5	5001	304

prune457.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.7b

regimes1.2s

Accuracy

0% (0.6b remaining)

Error of 24.4b against oracle of 23.8b and baseline of 24.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	51
1	42	51

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.9s	4826×	body	1280	valid
1.4s	1823×	body	640	valid
285.0ms	550×	body	320	valid
87.0ms	602×	body	80	valid
68.0ms	200×	body	160	valid